In Calibre, when you plug your Kindle in, it usually adds a button for sending books to your Kindle. You can just select the books you want on your Kindle and click that button. I do find that occasionally I have to "convert" a book from the mobi format to a mobi format to get metadata changes like author to take hold.

You'll find, however, that the forums here are quite useful so that even a complete novice will figure it out quickly and easily.